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Finding the Third Proportional to 518,235 and 1,121,358

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Solution

The third proportional to 518,235 and 1,121,358 is: 2,426,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,235 : 1,121,358 = 1,121,358 : x
  2. Step 2: Convert to fraction form
    518,235/1,121,358 = 1,121,358/x
  3. Step 3: Cross multiply
    518,235x = 1,121,358 × 1,121,358
  4. Step 4: Simplify right side
    518,235x = 1,257,443,764,164
  5. Step 5: Solve for x
    x = 1,257,443,764,164/518,235
  6. Step 6: Final answer
    x = 2,426,396.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.